{"id":668,"date":"2026-01-20T10:33:55","date_gmt":"2026-01-20T08:33:55","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=668"},"modified":"2026-01-20T17:47:23","modified_gmt":"2026-01-20T15:47:23","slug":"courant-algebroid-lifts-and-curved-courant-algebroids-2","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2026\/01\/20\/courant-algebroid-lifts-and-curved-courant-algebroids-2\/","title":{"rendered":"Courant algebroid lifts and curved Courant algebroids"},"content":{"rendered":"<p>19 Jan 2026. Talk by Filip Mou\u010dka at the <a href=\"https:\/\/conference.math.muni.cz\/srni\/\">46th Winter school on geometry and physics<\/a>, Srn\u00ed, Czech Republic.<\/p>\n<p>Abstract: Given a Courant algebroid on a bundle of the form TM+E, we describe a natural construction of a pairing, an anchor, and a bracket on TE using a vector bundle connection on E. In general, this resulting structure on TE fails to satisfy all Courant algebroid axioms, which leads us to introduce the notion of a curved Courant algebroid. We identify the precise obstruction to obtaining an actual Courant algebroid and provide several illustrative examples related to the Patterson-Walker metric, special complex geometry, and Poisson geometry. This talk is based on joint work with Roberto Rubio, arXiv:2511.04743.<\/p>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2026\/01\/CaLifts.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustaci\u00f3 del fitxer Slides:.\"><\/object><a id=\"wp-block-file--media-67cbe475-4dc4-4d62-954e-63e231e11a89\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2026\/01\/CaLifts.pdf\">Slides:<\/a><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2026\/01\/CaLifts.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-67cbe475-4dc4-4d62-954e-63e231e11a89\">Baixa<\/a><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>19 Jan 2026. Talk by Filip Mou\u010dka at the 46th Winter school on geometry and physics, Srn\u00ed, Czech Republic. Abstract: Given a Courant algebroid on a bundle of the form TM+E, we describe a natural construction of a pairing, an anchor, and a bracket on TE using a vector bundle connection on E. In general, [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28,26],"tags":[],"class_list":["post-668","post","type-post","status-publish","format-standard","hentry","category-moucka","category-talks"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/668","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/users\/54"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/comments?post=668"}],"version-history":[{"count":2,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/668\/revisions"}],"predecessor-version":[{"id":672,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/668\/revisions\/672"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=668"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=668"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}